Some foundations for multiplicative habits models
Consumption models with multiplicative habits are becoming increasingly popular. However, mathematical foundations of such models are incomplete because the utility function with multiplicative habits is not concave. This paper shows that an optimal consumption path exists and it satisfies the first order conditions. The paper also shows that when the production function is linear, consumption growth rate along the optimal path converges to a positive constant under several parametric restrictions.
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Alonso-Carrera, Jaime & Caballe, Jordi & Raurich, Xavier, 2005.
"Growth, habit formation, and catching-up with the Joneses,"
European Economic Review,
Elsevier, vol. 49(6), pages 1665-1691, August.
- Jaime Alonso-Carrera & Jordi Caball?Author-Email: firstname.lastname@example.org & Xavier Raurich, "undated". "Growth, Habit Formation, and Catching-up\ with the Joneses," UFAE and IAE Working Papers 497.01, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Francisco Alvarez-Cuadrado & Goncalo Monteiro & Stephen J. Turnovsky, 2004. "Habit Formation, Catching Up with the Joneses, and Economic Growth," Journal of Economic Growth, Springer, vol. 9(1), pages 47-80, 03.
- Francisco Alvarez-Cuadrado & Goncalo Monteiro & Stephen Turnovsky, 2004. "Habit Formation, Catching Up with the Joneses, and Economic Growth," Working Papers UWEC-2004-09-P, University of Washington, Department of Economics, revised Jan 2004.
- Jody Overland & Christopher D. Carroll & David N. Weil, 2000. "Saving and Growth with Habit Formation," American Economic Review, American Economic Association, vol. 90(3), pages 341-355, June.
- Christopher D. Carroll & Jody Overland & David N. Weil, 1995. "Saving and growth with habit formation," Finance and Economics Discussion Series 95-42, Board of Governors of the Federal Reserve System (U.S.).
- Christopher D. Carroll & Jody Overland & David N. Weil, 2000. "Mathematica code for 'Saving and Growth with Habit Formation' and 'Comparison Utility in a Growth Model'," QM&RBC Codes 43, Quantitative Macroeconomics & Real Business Cycles.
- Takashi Kamihigashi, 2002. "A simple proof of the necessity of the transversality condition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(2), pages 427-433.
- Takashi Kamihigashi, 2001. "A Simple Proof of the Necessity of the Transversality Condition," Discussion Paper Series 116, Research Institute for Economics & Business Administration, Kobe University.
- Carroll, Christopher D & Overland, Jody & Weil, David N, 1997. "Comparison Utility in a Growth Model," Journal of Economic Growth, Springer, vol. 2(4), pages 339-367, December.
- Christopher D Carroll & Jody Overland & David N Weil, 1997. "Comparison Utility in a Growth Model," Economics Working Paper Archive 387, The Johns Hopkins University,Department of Economics.
- Christopher D. Carroll & Jody Overland & David N. Weil, 1997. "Comparison Utility in a Growth Model," NBER Working Papers 6138, National Bureau of Economic Research, Inc.
- Juan Pablo RincÛn-Zapatero & Carlos RodrÌguez-Palmero, 2003. "Existence and Uniqueness of Solutions to the Bellman Equation in the Unbounded Case," Econometrica, Econometric Society, vol. 71(5), pages 1519-1555, 09.
- Nishimura, Kazuo, 1985. "Competitive equilibrium cycles," Journal of Economic Theory, Elsevier, vol. 35(2), pages 284-306, August.
- Benhabib, Jess & Nishimura, Kazuo, 1983. "Competitive Equilibrium Cycles," Working Papers 83-30, C.V. Starr Center for Applied Economics, New York University.
- Carroll, Christopher D., 2000. "Solving consumption models with multiplicative habits," Economics Letters, Elsevier, vol. 68(1), pages 67-77, July.
- Christopher D Carroll, 2000. "Solving Consumption Models with Multiplicative Habits," Economics Working Paper Archive 421, The Johns Hopkins University,Department of Economics.
When requesting a correction, please mention this item's handle: RePEc:eee:jmacro:v:30:y:2008:i:3:p:873-884. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dana Niculescu)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.